Solve the equation,
3(b + 3) - 4(-2+b) = 19
Answer:
b= -2
Step-by-step explanation:
Answer:
b = -2
Step-by-step explanation:
The first thing we need to do to solve this equation is expand the brackets. To so this we need to multiply the outside term with each of the terms inside the bracket (distributive law).
This gives us:
3xb + 3x3 -4x-2 -4xb = 19
Which multiplies out to:
3b + 9 + 8 -4b = 19
Combine like terms:
-b +17 = 19
From here we move the 17 to the other side by subtracting 17 from both sides
-b +17 -17 = 19 - 17
-b = 2
Divide both sides by -1:
-b/-1 = 2/-1
Which gives us:
b = -2
Hope this helped!
8. Joe walked 5 miles north, 9 miles east, then 9 miles north, and 7 miles east. If Joe decides to
walk straight back to where he started, how far must he walk?
Answer:
tim has an after school delivery service that he provides for several small retailers in town. he uses his bicycle and charges $1.25 for a delivery made within 1 1/2 miles, $1.70 for a delivery of at least 1 1/2 miles but less than 1 3/4 miles. $2.15 for a delivery of at least 1 3/4 miles but less than 2 miles, and so on. if tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles?
since the rate was 45 cents i multiplied 0.45 by 1.1 and got 0.495 and then i kept adding to the cost and 1/4 to the amount of miles until i got 3 1/8 miles. my answer was 4.715 so i rounded to 4.72, is that correct?Step-by-step explanation:
A graph titled Population of Old Town has Time (years after 2000) on the x-axis, and number of people on the y-axis. A line goes through points (4, 7,000) and (6, 6,500).What is the slope for this scenario?
-500
-250
-1/4
200
Answer:
-250
Step-by-step explanation:
It was right on edge
Answer:
The answer is -250
Step-by-step explanation:
it was on edge and i got it right
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars
Answer:$ 44.70
Step-by-step explanation: 250/1.3687 = 182.655-150 =32.655 times 1.3687
Answer:
He has 45 USD left.
Step-by-step explanation:
250 USD = 212 Euros. 250 - 212 = 38. 38 euros - about 45 USD, rounded.
Convert 32,190 inches /year to yards
Answer:
2.4 yards a day
Step-by-step explanation:
32,190 inches = 894.167 yards
894.167 / 365 = 2.4 yds/day
The conversion of 32,190 inches /year to yards/day yields: 2.4 yards/day
To convert 32190 inches/year to yards per day;
We must first find the conversion factor of inches to yards andWe must also find the conversion factor of years to days.In essence, since 1 inch = 0.0278 yards.
Therefore, we have;
32190 inches/year = 32190 × 0.0278 yards/year.= 894.88yards/year.However, 365 days make one year;
Therefore,
894.88 yards/year = (894.88/365) yards/day.= 2.4 yards/day.
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Midpoint of the segment with endpoints (-8, 5) and (3, -6)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{( - 2.5 \: , \: - 0.5)}}}}}[/tex]
Step-by-step explanation:
Let the given points be A and B
Let A( -8 , 5 ) be ( x₁ , y₁ ) and B ( 3 , -6 ) be ( x₂, y₂ )
Finding the midpoint
[tex] \boxed{ \sf{midpoint = (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{ - 8 + 3}{2} , \: \frac{5 + ( - 6)}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{ - 8 + 3}{2} \: , \: \frac{5 - 6}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{ - 5}{2} \: , \: \frac{ - 1}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( - 2.5 \: , \: - 0.5 \: )}}[/tex]
Hope I helped !
Best regards!
Proving the Congruent Supplements Theorem
Try
Statements Reasons
Given: 21 and 22 are supplements, 23
and 24 are supplements, and
2124
Prove. 22 23
m2 1 + m 2 = 180
m23+ m24 = 180
21 and 22 are supp.
23 and 24 are supp
21 24
m2 1 + m 2 = m 3 + m24
Statements
Reasons
3
2
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Answer:
From
m∠1 = m∠4
m∠1 + m∠2 = m∠3 + m∠4
m∠2 = m∠3 [tex]{}[/tex] Identity property
∠2 ≅ ∠3 [tex]{}[/tex] [tex]{}[/tex] Equal angles are congruent
Step-by-step explanation:
Given [tex]{}[/tex] Reason
∠1 and ∠2 are supplementary [tex]{}[/tex] Given
Therefore;
m∠1 + m∠2 = 180° [tex]{}[/tex] Supplementary ∠s sum up to 180°
∠3 and ∠4 are supplementary [tex]{}[/tex] Given
Therefore;
m∠3 + m∠4 = 180° [tex]{}[/tex] Supplementary ∠s sum up to 180°
From which we have;
m∠1 + m∠2 = 180° = m∠3 + m∠4 [tex]{}[/tex] [tex]{}[/tex] Transitive property
m∠1 + m∠2 = m∠3 + m∠4
∠1 ≅ ∠4 [tex]{}[/tex] Given
m∠1 = m∠4 [tex]{}[/tex] Congruent ∠s have equal measure
Therefore;
m∠1 + m∠2 = m∠3 + m∠1 [tex]{}[/tex] [tex]{}[/tex] Transitive property
Therefore;
m∠1 + m∠2 - m∠1= m∠3 + m∠1 - m∠1 [tex]{}[/tex]Subtraction property
m∠1 - m∠1 + m∠2 = m∠3 + m∠1 - m∠1 [tex]{}[/tex]
0 + m∠2 = m∠3 + 0 [tex]{}[/tex] Inverse property
Therefore;
m∠2 = m∠3 [tex]{}[/tex] Identity property
∠2 ≅ ∠3 [tex]{}[/tex] [tex]{}[/tex] Equal angles are congruent.
Answer:
<1 and <2 are supp. givenm <1+ m<2 =180. def. of supplementary angles<1≅<4. given<3 and <4 are supp. givenm< 3 + m<4 = 180. def. of supplementary anglesm<1+m<2 = m< 3 + m<4. substitution propertym<1 = m<4. definition of ≅ anglesm<1+m<2 = m< 3 + m<1. Substitution propertym<2 = m< 3. subtraction property<2 ≅ < 3. definition of ≅ angle
How do I solve an absolute value question?
Answer:
absolute value is how many units it is away from 0. meaning that -6 and 6 both have an abosolute value of 6.
Step-by-step explanation:
the slope of (-2,3) and (4,-5)
Answer:
-4/3
Step-by-step explanation:
Slope= - 5-3/4+2
Slope= - 8/6
Slope = - 4/3
answer:
0.75 i think i'm not really sure i hope it helps tho
Step-by-step explanation:
4 more is twice a number is equal to 10 what is the number
Помогите пожалуйста!
i don't speak russian bro
Find the inverse function (find f^-1)
[tex]f(x)=\frac{x-2}{3x+3}[/tex]
I have the correct answer, I just don't know how to get to it.
answer is: [tex]f^{-1} =\frac{-2-3x}{3x-1}[/tex]
Step-by-step explanation:
f(x) = (x-2)/(3x+3). Let y = f(x).
Then y = (x-2)/(3x+3).
y(3x+3) = x - 2
3xy + 3y = x - 2
3xy - x = -3y - 2
x(3y-1) = -(3y+2)
x = -(3y+2)/(3y-1)
Hence, the inverse of f(x) is -(3x+2)/(3x-1).
The function f(x) is shown on the graph.
What is f(0)
Answer:
-6 only
Step-by-step explanation:
i just did the test
What is 2x=4????????????
Answer:
x = 2
Step-by-step explanation:
2× = 4
x = 2
2x = 4
4/2 = 2
so...
2(2) = 4
x = 2
SOMEONE HELP PLEASEEE !!!
Answer:
if im right its 13.09 miles since perimiter is just the total length of the outside lines.
Step-by-step explanation:
What is the sum of 9+10=???
Answer:
19 but if its is the joke version then 21
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
If I fall for 18 s what would my final velocity be, if I started from rest.
Answer:
176.58 m/s
Step-by-step explanation:
assume that the acceleration due to gravity, g = 9.81 m/s²
I also assume we neglect air resistance (hence we assume no terminal velocity)
recall that one of the equations of motions can be expressed as
v = u + at, where
u = initial velocity = 0 (because it says you started from rest)
v = final velocity (we are asked to find this)
a = acceleration due to gravity = 9.81 m/s²
t = time = given as 18s
simply substitute the above into the equation.
v = 0 + (9.81)(18)
v = 176.58 m/s
Students are planning the backdrop for the school play. The backdrop is 15 feet wide and 10 feet high. Every 16 inches on the scale drawing represents 5 feet on the backdrop What is the area of the scale drawing?
Answer:6
Step-by-step explanation:
is 4 to 7 the same as 7 to 4? Explain why or why not.
Answer:
No, 4 to 7 is not the same as 7 to 4.
Order is important when writing a ratio.
The ratio compares the first quantity to the second.
The ratio 4 to 7 means there are more of the second quantity, but 7 to 4 means there are more of the first.
Step-by-step explanation:
16. Rahul cycles at a speed of 6km/hr to reach school in 20 minutes. What should his
speed be if he wants to reach school in 15 minutes?
Step-by-step explanation:
Distance to school = (6km/h)(1/3h) = 2km
2km in 15 minutes = 8km in 60 minutes.
Hence his speed should be 8km/h.
2x+3y=12 complete the missing value in the solution to the equation
Answer:
(-6,8) is your answer.
Step-by-step explanation:
1. 2x + 3y = 12
2. 2x +3 * 8 = 12
3. 2x + 24 = 12
4. 2x = -12
5. x = -6
So, our final answer is (-6,8)
how many pennies fit in a 22-inch circle?
Answer :
663 Pennies can fit into a 22-inch circle
The required number of pennies fit in the circle is 13.
Area of the Circle:The formula of the area of the circle is [tex]A=\pi r^2[/tex]
As we know that the standard radius of a penny is 0.75 inch
So, the area of the one penny is,
[tex]A=\pi r^2\\A=3.14\times (0.75)^2\\A=1.77[/tex]
So, the total number of pennies fit in the 22-inch circle is,
[tex]n=\frac{22}{1.77} \\n=12.49\\n\approx 13[/tex]
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Factor 6x^2+28x+16 Thank you so much for your help!
Answer:
2(3x+2)(x+4)
Step-by-step explanation:
6x^2+28x+16
first : 2 as a common factor:
2(3x²+14x+8) then factorize
2(3x+2)(x+4)
When the movie is half over, popcorn sells for half price. Which expression can be used to determine the new cost for 3 orders of popcorn and 3 drinks? 3 Left-bracket one-half (3.50) + 1.35 Right-bracket One-half (3.50) + 3 (1.35) One-half left-bracket 3 (3.50) + 3 (1.35) right-bracket (3.50) (3) divided by one-half + 1.35
Answer:
3[1/2(3.50)+1.35]Step-by-step explanation:
The expression for new cost is 3(3.50/2 + 1.35)
What is equations?A mathematical statement that consists of two expressions connected by an equal sign is called an equation.
Given the cost of popcorn is half when movie is half over,
according to question
original cost of popcorn = 3.50
cost at interval = 3.50/2
cost of drink = 1.35
cost of 3 drink = 3 x 1.35
cost of 3 popcorn = 3 x 3.50/2
expression for new cost for 3 orders of popcorn and 3 drinks
3 x 3.50/2 + 3 x 1.35
= 3(3.50/2 + 1.35)
Hence the expression is 3(3.50/2 + 1.35)
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Solve the equation below for y.
8x+4y=20
What type of move takes Figure A to Figure B?*
Answer: Rotation
Step-by-step explanation:
From the figure , we can observe that both figure A and b are absolutely congruent.
To translate a figure to make congruent images , we use rigid motions (Translation, Reflection, Rotation)
It is Rotation because of we move Figure A 180 degrees clockwise about the fixed point O, we will get Figure B .
It cannot be reflection because both figures are not mirror images.
It cannot be translation because all points on Figure A is not moving , as point O remained at same position throughout this which is not possible in translation.
Jonathan was thrilled when his boss told him he was going to get a 5% raise. If Jonathan
is currently paid $10,000 per year, how much raise did he get?
Answer:10,500
Step-by-step explanation:
10,000*5%=500
78.84 meters= Centimeter
Answer:
7884 Centemeters
Step-by-step explanation:
The greater of 2 consecutive odd integers is 8
more than 3 times the lesser. Find the integers.
Step-by-step explanation:
let the odd integers be a, a+2.
a+2=8+3a
collect like term
a-3a=8-2
-2a=6
a=-3
so the integers are -3, -1
A nurse mixes 50 cc of a 60% saline solution with a 10% saline solution to produce a 20% saline solution. How much of the 10% solution should he use?
Answer:
The nurse should use 200cc of the 10% saline solution in order to produce a 20% saline solution.
Step-by-step explanation:
to the given mix we add a quantity of a lower mix to generate another.
50cc at 60% + Xcc at 10% = (50 + X)cc at 20%
50 x 60% + X x 10% = (50 + X) x 20%
30 + 0.1X = 10 + 0.2X
30 - 10 = 0.2X - 0.1X
20 = 0.1X
20/0.1 = X
X = 200